Twist-spun carbon nanotube yams actuate when extra charge is added to the yam. This charge can be stored in a doublelayer capacitor formed when the yam is submersed in an electrolyte. The dependence of the actuation stress and strain on the stored charge must be studied if double layer charging models are to be fully verified over large potential ranges. However, background currents are generated in the system when an electrical potential is applied, making it hard to discern the charge stored in the actuator and the charge that passes through the cell due to faradaic processes. A model is developed to separate the capacitive and faradaic portions of the actuator current. The model is then applied to the analysis of the actuation data. The consistency of the results paves the way to understanding the real strain-charge behavior of the actuator.